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Finding the Third Proportional to 142,226 and 304,694

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Solution

The third proportional to 142,226 and 304,694 is: 652,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,226 : 304,694 = 304,694 : x
  2. Step 2: Convert to fraction form
    142,226/304,694 = 304,694/x
  3. Step 3: Cross multiply
    142,226x = 304,694 × 304,694
  4. Step 4: Simplify right side
    142,226x = 92,838,433,636
  5. Step 5: Solve for x
    x = 92,838,433,636/142,226
  6. Step 6: Final answer
    x = 652,752.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.